Theorem: pythagorean
Equation: 5^2 + h^2 = 8^2
Solving:
25 + h^2 = 64
h^2 = 39
h =

Hope this helps!! :)
Using translation concepts, it is found that the parent cosine function undergoes these following transformations:
- Horizontal shift of 1 unit to the right.
- Vertical shift of 5 units up.
- The frequency was multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent cosine function is given by:

The translated function is given by:

The changes were as follows:
- 1 was subtracted at the domain, hence it had a horizontal shift of 1 unit to the right.
- 5 was added to the function, hence it had a vertical shift of 5 units up.
- The domain was multiplied by 2, hence the frequency was multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:

Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.

Answer:
You can use ur ruler the ruler that's in half
1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t -->
Decay
y=1/2(2.5)^t/6 -->
Growth
y=(0.65)^t/4 -->
Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D